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Multifrequency oscillations of singularly perturbed systems

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Publication:414043
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DOI10.1134/S001226611201003XzbMath1277.34056MaRDI QIDQ414043

V. R. Bukaty, Yuri N. Bibikov

Publication date: 10 May 2012

Published in: Differential Equations (Search for Journal in Brave)


zbMATH Keywords

invariant toridetermining equationsmultifrequency oscillations


Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Multifrequency systems of ordinary differential equations (34C46)


Related Items (4)

Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies ⋮ Dynamical bifurcation of multifrequency oscillations in a fast-slow system ⋮ Bifurcation of invariant tori from a periodic motion under singular perturbations ⋮ Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension



Cites Work

  • Integral manifolds of perturbed differential systems
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